How do you solve quadratic inequalities and rational equations?

How do you solve rational equations and inequalities?

Video quote: Minus 3 multiply it on both sides. And the whole reason for doing that is so that this 2x minus 3 divides out with this 2x minus 3 and then we'll be left with 10 equals.

How do you solve rational inequalities step by step?

Video quote: So if we set the numerator equal to zero 3x minus 9 equals zero. Well if we add nine. And then divide by three we'll get x equals three as one of our solutions.

How do you solve an inequality?

Video quote: Here's a simple linear inequality example 2x plus 3 is less than or equal to 11. For this one you're going to solve it as you would an equality a normal equation subtract 3 from both sides.

What is the first step in solving a rational inequality *?

To solve a rational inequality, we first must write the inequality with only one quotient on the left and 0 on the right. Next we determine the critical points to use to divide the number line into intervals. A critical point is a number which make the rational expression zero or undefined.

How do you solve rational equations?

The steps to solve a rational equation are:

1. Find the common denominator.
2. Multiply everything by the common denominator.
3. Simplify.
4. Check the answer(s) to make sure there isn’t an extraneous solution.

How do you solve inequalities with fractions and variables in the denominator?

Video quote: Hey guys in this video I'm going to show you how to solve this inequality right here so what we want to do is get rid of the denominators. So means multiply both denominators on both sides.